# How do you find the X and Y intercepts of -x+2y=8?

Oct 2, 2015

x-intercept: $\left(- 8\right)$
y-intercept: $4$

#### Explanation:

The x-intercept is the value of $x$ where the graph crosses the X-axis; for all points on the X-axis, $y = 0$
Therefore the x-intercept is the value of $x$ when $y = 0$ for the given equation ($- x + 2 y = 8$)

$\textcolor{w h i t e}{\text{XXX}} - x + 2 \left(0\right) = 8$
$\textcolor{w h i t e}{\text{XXX}} x = - 8$

Similarly the y-intercept is the value of $y$ when $x = 0$ in the given equation.

$\textcolor{w h i t e}{\text{XXX}} - 0 + 2 y = 8$
$\textcolor{w h i t e}{\text{XXX}} y = 4$